Performance Analysis of IDEAL Algorithm Combined with Bi-CGSTAB Method

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Abstract
An efficient segregated algorithm for fluid flow and heat transfer problems, called IDEAL, was proposed D. L. Sun et al. [ 11 D. L. Sun , Z. G. Qu , Y. L. He , and W. Q. Tao , An Efficient Segregated Algorithm for Incompressible Fluid Flow and Heat Transfer Problems—IDEAL (Inner Doubly-Iterative Efficient Algorithm for Linked-Equations) Part I: Mathematical Formulation and Solution Procedure , Numer. Heat Transfer, B , vol. 53 , pp. 1 – 17 , 2008 . [Taylor & Francis Online], [Web of Science ®] [Google Scholar] ]. In addition, the IDEAL algorithm was extended to 2-D/3-D grid systems. In these IDEAL algorithms, all of the algebraic equations are solved by the alternating-direction implicit (ADI) method, called the IDEAL + ADI method. In this article, the efficient Bi-CGSTAB method is adopted instead of the ADI method to solve the algebraic equations in the IDEAL algorithm, called the IDEAL + Bi-CGSTAB method. It is found that the IDEAL + Bi-CGSTAB method is much better than the IDEAL + ADI method to solve open systems but little worse to solve closed systems.

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